The recipe for a fruit smoothie requires 2 cups of fruit per 6 cups of yogurt to maintain a 1/3 ratio. While making the fruit smoothie, Suzy accidentally puts 3 cups of fruit into the pitcher. How many cups of yogurt should be put in the pitcher to maintain the ratio of 1/3?

Answer:

D-780 squared inches

Step-by-step explanation:

you multiply 2(l)(w)+2(l)(h)+2(w)(h)

Answer:

Last option 780.

Step-by-step explanation:

To get the surface area for this you will need to get the area of each square that you see is in the net version. Once you do that you add them all together. Here is the math. . .

(4*25)+(4*10)+(4*25)+(10*25)+(10*25)+(4*10) = 780 total surface area.

If this looks confusing just look at the net version of the rectangular prism and you can see there is a duplicate of the different dimension triangles. These areas would be (4*25), (4*10), (10*25). There are a total of 3 different size triangles and all of them have duplicates. So we just multiply everything by 2

(4*25)+ (4*10)+(10*25) = 390 now multiply that by 2 and you get 780 again.

Hope the explanation helps :)

Answer:

Simulateneous equation

Step-by-step explanation:

Have to slove the equation given then plot the graph

Answer:

Graph a line segment with endpoints (1,-8) and (-4,3).

Step-by-step explanation:

Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.

Original point -> Corresponding inverse point

(a,b) ->(b,a)

(-8,1) ->(1,-8)

(3,-4) ->(-4,3)

So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).

(The inverse graph is just a reflection of the original relation over y=x.)

Answer:

It will take 25.6 years for the mass of the sample to reach 400 grams.

Step-by-step explanation:

Element X is a radioactive isotope such that every 25 years, its mass decreases by half.

This means that the amount of the substance after t years can be modeled by a function in the following format:

[tex]A(t) = A(0)(0.5)^{\frac{t}{25}}[/tex]

In which A(0) is the initial amount.

Initial mass of a sample of Element X is 910 grams.

This means that [tex]A(0) = 910[/tex]

So

[tex]A(t) = A(0)(0.5)^{\frac{t}{25}}[/tex]

[tex]A(t) = 910(0.5)^{\frac{t}{25}}[/tex]

How long would it be until the mass of the sample reached 400 grams?

This is t for which [tex]A(t) = 400[/tex]

So

[tex]A(t) = 910(0.5)^{\frac{t}{25}}[/tex]

[tex]400 = 910(0.5)^{\frac{t}{25}}[/tex]

[tex](0.5)^{\frac{t}{25}} = \frac{400}{910}[/tex]

[tex](0.5)^{\frac{t}{25}} = 0.43956[/tex]

[tex]\log{(0.5)^{\frac{t}{25}}} = \log{0.43956}[/tex]

[tex]\frac{t}{25}\log{0.5} = \log{0.43956}[/tex]

[tex]t = \frac{25\log{0.43956}}{\log{0.5}}[/tex]

[tex]t = 25.6[/tex]

It will take 25.6 years for the mass of the sample to reach 400 grams.

Answer:

29.6

Step-by-step explanation:

Answer:

False, the slope is POSITIVE 3.

Answer:

APR INTEREST

THANKS ME LATUR

Answer:

hlw its jess your ans is here ↑ ↓

:- 150 rotation and the other 30 rotation about the same point is equivalent to 150+30 = 180

rotation about that point

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]

The annual effective yield will be 7.19% for the investment.

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.

The annual effective yield will be calculated as below:-

[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)

Solve the equation:-

i = 0.0718

i = 0.0718 x 100 = 7.19%

Therefore, the annual effective yield will be 7.19% for the investment.

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Answer:

243.

Step-by-step explanation:

they are multiplying by -3.

3x(-3)= -9

-9x(-3)= 27

27x(-3)= -81

so you would do -81x(-3) which equals 243.

Answer:

$639

Step-by-step explanation:

$450 * .14 = 63

63 * 3 = 189

450 + 189 = 639

Answer:

Solution given:

Annie needs 250 lb of cement to fix the outer step.

Each bag hold 40 lb of cement.

Now

40 lb =1bag

we need

250lb= ? bag.

we have

no of bag =needed lb/1 bag's lb=250/40=250/40=6.25

we do not need more than 7 bags

Annie needs 7 bags.

So

The required inequality is:

b≥7.

Answer:

59.157 cubic centimeters

Answer:

yea i dont know this one bro

Step-by-step explanation:

Answer:

26.6 meters

Step-by-step explanation:

Tan(x) = [tex]\frac{opp}{adj}[/tex]

Tan(28)  = [tex]\frac{x}{50}[/tex]

x = 26.6m

Answer:

linearly because the  table shows that the daisies increased by the same amount each month

Step-by-step explanation:

Answer:

Linearly, because the table shows that the daisies increased by the same amount each month

Step-by-step explanation:

Take the second term and subtract the first term for the output

13.1 -10 = 3.1

Do the same for the third and the second

16.2 -13.1 = 3.1

And the fourth and third

193. -16.2 = 3.1

This is a linear increase since we add the same amount each time

============================================================

Explanation:

The set {1, 2}U{2, 6, 7, 9}U{5, 6, 7} simplifies to {1,2,5,6,7,9} after we combine everything and sort the values. We toss any duplicates.

Let B = {1,2,5,6,7,9}

There are 6 items in set B out of 10 items in set A.

The probability of landing in set B, if you pick something randomly from A, is 6/10 = 3/5

Answer:

3/5

Step-by-step explanation:

Step-by-step explanation:

100%-3%=97%

$1500*97%=$1455

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

Answer:

Tom saves 30 more dollars

Step-by-step explanation:

There’s 12 months in a year so

60 x 12 = 720

Tom has 750 so take away 720 that bill makes a year = 30

Answer:

26

Step-by-step explanation:

Let x represent the missing number

[tex] 8\frac{11}{15} = 7\frac{x}{15} [/tex]

Convert both fractions to improper fractions

[tex] \frac{131}{15} = \frac{105 + x}{15} [/tex]

Cross multiply

[tex] 15(105 + x) = 15(131) [/tex]

[tex] 1,575 + 15x = 1,965 [/tex]

Subtract both sides by 1,575

[tex] 15x = 1,965 - 1,575 [/tex]

[tex] 15x = 390 [/tex]

Divide both sides by 15

[tex] x = \frac{390}{15} [/tex]

x = 26

Answer:

V = 29.31 cm^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 (3.14) (2)^2 (7)

V =29.30666

Rounding to the nearest hundredth

V = 29.31 cm^3

Answer:

B)10

Step-by-step explanation:

Because this is a right angle(indicated by the red box) the total measure should be 90°.

And based on that we say 5X +40=90

Subtract 40 from both sides to get 5x=50

And then divide both sides by 5 to get x=10

Answer:

x = 10°

Step-by-step explanation:

5x° + 40° = 90°

5x° = 90°-40°

5x°=50°

x°= 50°/5

x = 10°

Answer:

j/3

Step-by-step explanation:

quotient is division

j/3

Step-by-step explanation:

the answer is in the image above

Answer:

C

Step-by-step explanation:

The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.

So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.

The center is at (5,-1)

that means that x will be written as (x - 5)

And y will be written as (y + 1)

Note: the signs of the center always change to the opposite of what they were.

The answer is (x - 5)^2 + (y  + 1)^2 = 49

=====================================================

Explanation:

We have n = 5 sides. This means the interior angles sum up to...

S = 180(n-2)

S = 180(5-2)

S = 180(3)

S = 540

All five interior angles of this pentagon add up to 540 degrees.

Answer:

Karen: 15; Dale: 9; Tom: 60

Step-by-step explanation:

"Karen and Dale and Tom sent a total of 84 messages during the weekend."

k + d + t = 84

"Dale sent six fewer messages than Karen"

d = k - 6

"Tom sent four times as many as Karen."

t = 4k

Substitute k - 6 for d and 4k for t in the first equation.

k + d + t = 84

k + k - 6 + 4k = 84

6k - 6 = 84

6k = 90

k = 15

d = k - 6 = 16 - 6 = 9

t = 4k = 4(15) = 60

Answer: Karen: 15; Dale: 9; Tom: 60

Answer:

OMGGGG OMGGG I NEEDTHIS QUESTION TOOOOOO

Answer:

676 square inches

a = L²

It has been established in the question that the length and the width of the chessboard has 8 rows an 8 columns respectively

length = with

rows = columns

8 × 3.25 = 26inches

AREA = L²

A = 26²

A = 676 square inches

The area in square inches of the chessboard given the side length of a square space is 676 inches².

A square is a quadrilateral with four equal sides.

The first step is to determine the area of a square space.

Area = length²

3.25² = 10.56 in²

The second step is to multiply the area of the square space by the number of squares.

8x 8 x 10.56 = 676 inches².

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